This paper is divided in two parts: in Section 2, we define recursively a privileged basis of the primitive forms in a symplectic space (V^2n , ω). Successively, in Section 3, we apply our construction in the setting of Heisenberg groups ℍ^n , n ≥ 1, to write in coordinates the exterior differential of the so-called Rumin’s complex of differential forms in ℍ^n .
Baldi, A., Barnabei, M., Franchi, B. (2016). A recursive basis for primitive forms in symplectic spaces and applications to Heisenberg groups. ACTA MATHEMATICA SINICA, 32(3), 265-285 [10.1007/s10114-016-4620-6].
A recursive basis for primitive forms in symplectic spaces and applications to Heisenberg groups
BALDI, ANNALISA;BARNABEI, MARILENA;FRANCHI, BRUNO
2016
Abstract
This paper is divided in two parts: in Section 2, we define recursively a privileged basis of the primitive forms in a symplectic space (V^2n , ω). Successively, in Section 3, we apply our construction in the setting of Heisenberg groups ℍ^n , n ≥ 1, to write in coordinates the exterior differential of the so-called Rumin’s complex of differential forms in ℍ^n .File in questo prodotto:
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